Suppose that you are waiting for a friend to call you and that the time you wait in minutes has an exponential distribution with parameter λ = 0.1. (a) What is the expectation of your waiting time? (b) What is the probability that you will wait longer than 10 minutes? (c) What is the probability that you will wait less than 5 minutes? (d) Suppose that after 5 minutes you are still waiting for the call. What is the distribution of your additional waiting time? In this case, what is the probability that your total waiting time is longer than 15 minutes? (e) Suppose now that the time you wait in minutes for the call has a U (0, 20) distribution. What is the expectation of your waiting time? If after 5 minutes you are still waiting for the call, what is the distribution of your additional waiting time?

Suppose that you are waiting for a friend to call you and that the time you wait in minutes has an exponential distribution with parameter λ = 0.1. (a) What is the expectation of your waiting time? (b) What is the probability that you will wait longer than 10 minutes? (c) What is the probability that you will wait less than 5 minutes? (d) Suppose that after 5 minutes you are still waiting for the call. What is the distribution of your additional waiting time? In this case, what is the probability that your total waiting time is longer than 15 minutes? (e) Suppose now that the time you wait in minutes for the call has a U (0, 20) distribution. What is the expectation of your waiting time? If after 5 minutes you are still waiting for the call, what is the distribution of your additional waiting time?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.4: Expected Value

Problem 20E

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